What is the Least Common Multiple of 80535 and 80539?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 80535 and 80539 is 6486208365.
LCM(80535,80539) = 6486208365
Least Common Multiple of 80535 and 80539 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80535 and 80539, than apply into the LCM equation.
GCF(80535,80539) = 1
LCM(80535,80539) = ( 80535 × 80539) / 1
LCM(80535,80539) = 6486208365 / 1
LCM(80535,80539) = 6486208365
Least Common Multiple (LCM) of 80535 and 80539 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80535 and 80539. First we will calculate the prime factors of 80535 and 80539.
Prime Factorization of 80535
Prime factors of 80535 are 3, 5, 7, 13, 59. Prime factorization of 80535 in exponential form is:
80535 = 31 × 51 × 71 × 131 × 591
Prime Factorization of 80539
Prime factors of 80539 are 43, 1873. Prime factorization of 80539 in exponential form is:
80539 = 431 × 18731
Now multiplying the highest exponent prime factors to calculate the LCM of 80535 and 80539.
LCM(80535,80539) = 31 × 51 × 71 × 131 × 591 × 431 × 18731
LCM(80535,80539) = 6486208365
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